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Gravity and large black holes in Randall-Sundrum II braneworlds
1DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom.
Physical Review Letters
|September 21, 2011
Summary
Researchers construct low-energy Randall-Sundrum II (RSII) solutions by perturbing anti-de Sitter/conformal field theory (AdS/CFT) solutions. This method accurately reproduces 4D general relativity and allows for the construction of large RSII static black holes.
Area of Science:
- Theoretical Physics
- High-Energy Physics
- String Theory and Quantum Gravity
Background:
- The Randall-Sundrum II (RSII) model is a key framework in theoretical physics exploring extra dimensions.
- Understanding low-energy solutions within the RSII model is crucial for reconciling gravity with quantum field theory.
- Previous work involved numerically constructing anti-de Sitter/conformal field theory (AdS/CFT) solutions with Schwarzschild boundary metrics.
Purpose of the Study:
- To develop a method for constructing low-energy solutions in the Randall-Sundrum II (RSII) model.
- To explore the relationship between RSII solutions and associated five-dimensional anti-de Sitter space/four-dimensional conformal field theory (AdS(5)/CFT(4)) problems.
- To numerically construct large static black holes within the RSII model.
Main Methods:
- Constructing RSII solutions as perturbations of AdS(5)/CFT(4) solutions.
- Utilizing the brane metric's radius of curvature relative to the AdS length (ℓ) as a perturbation parameter.
- Modifying boundary conditions to numerically generate large RSII static black holes.
Main Results:
- The RSII solution is shown to be a specific perturbation of the AdS(5)/CFT(4) solution.
- For low curvatures, the RSII solution accurately reproduces four-dimensional general relativity on the brane.
- Large RSII static black holes with radii up to approximately 20ℓ were successfully constructed numerically.
- The constructed RSII solutions closely approximate the associated AdS(5)/CFT(4) solutions for large radii.
Conclusions:
- The perturbation method provides a viable approach to constructing low-energy RSII solutions.
- The study confirms the proximity of large RSII solutions to their corresponding AdS(5)/CFT(4) counterparts.
- This work advances the understanding of black hole solutions within modified gravity theories.
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